MAT-62506 Linear Systems, 5 cr

Additional information

Suitable for postgraduate studies. The implementation will not be executed during the academic year 2017-2018.

Person responsible

Lassi Paunonen

Lessons

Implementation Period Person responsible Requirements
MAT-62506 2017-01 - Lassi Paunonen

Learning Outcomes

The course covers the basic theory of linear, time invariant dynamical systems from the time-domain and frequency-domain point of view. Topics covered include controllability, observability, stabilization, and optimal control. The first half of the course concentrates on control of finite-dimensional systems and the second half on control infinite-dimensional linear systems. The theory is illustrated with examples involving controlled ordinary and partial differential equations, most notably controlled mechanical systems, groups of moving robots, as well as controlled heat, diffusion and vibration processes. Matlab is used to approximate and simulate the control systems.

Prerequisites

Course Mandatory/Advisable Description
MAT-60100 Kompleksimuuttujan funktiot Advisable   1
MAT-60106 Complex Analysis Advisable   1
MAT-60000 Matriisilaskenta Mandatory   2
MAT-60006 Matrix Algebra Mandatory   2
MAT-60206 Mathematical Analysis Advisable    
MAT-61006 Introduction to Functional Analysis Advisable    

1 . MAT-60100 Kompleksimuuttujan funktiot or MAT-60106 Complex Analysis

2 . MAT-60000 Matriisilaskenta or MAT-60006 Matrix Algebra

Correspondence of content

There is no equivalence with any other courses

Updated by: Ikonen Suvi-Päivikki, 28.03.2017